Hi Bobby,
I was just looking at the manual but it doesn't show any procedures to lube the deck drive shaft. It does mention a slip joint so there is a possibility that the shaft may be easily removed. On some high speed universal joints there is a grease fitting in the center of the cross, but the joint must be swung to the max to expose it.
I'm not at all familiar with the Turf Tiger and because it has a horizontal shaft engine the machine is setup differently from the typical vertial shaft engine machines that use V belts to drive the decks.
Mad Mackie in CT